Some Spectral Sequences for Filtered Complexes and Applications

Autor:	Kapil H. Paranjape
Rok vydání:	1996
Předmět:	Discrete mathematics Pure mathematics Algebra and Number Theory Functor Morphism Mathematics::K-Theory and Homology Spectral sequence Mathematics::Analysis of PDEs De Rham cohomology Leray spectral sequence Mathematics::Algebraic Topology Mathematics
Zdroj:	Journal of Algebra. 186:793-806
ISSN:	0021-8693
DOI:	10.1006/jabr.1996.0395
Popis:	We construct a hierarchy of spectral sequences for a filtered complex under a left-exact functor. As applications we prove (1) the existence of a Leray spectral sequence for de Rham cohomology, (2) the equivalence of this sequence with the “usual” Leray spectral spectral sequence under the comparison isomorphism, and (3) the isomorphism of the Bloch–Ogus spectral sequence with the Leray spectral sequence for the morphism from the fine site to the Zariski site.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc217c7dabdec612413be76f9ec1aa0e https://doi.org/10.1006/jabr.1996.0395 Zobrazit plný text záznamu Full Text from ScienceDirect